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Inverse problems for Maxwell's equations /
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Utrecht, the Netherlands :
VSP,
1994.
|
| Colección: | Inverse and ill-posed problems series.
|
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Preface
- Introduction
- 1 Cauchy problem for Maxwell�s equations
- 1.1 Maxwell�s equations as a hyperbolic symmetric system
- 1.2 Structure of the Cauchy problem solution in case of the current located on the media interface
- 2 One-Dimensional Inverse Problems
- 2.1 Structure of the Fourier-image of the Cauchy problem solution for one-dimensional medium in case of the current located at a point
- 2.2 The problem of determining the medium permittivity
- 2.3 The problem of determining the conductivity coefficient
- 2.4 The problem of determining all the coefficients of Maxwell�s equations3 Multidimensional Inverse Problems
- 3.1 Linearization method applied to the inverse problems
- 3.2 Investigation of the linearized problem of determining the permittivity coefficient
- 3.3 Unique solvability theorem for a two-dimensional problem of determining the conductivity coefficient analytic in one variable
- 3.4 On the uniqueness of the solution of three-dimensional inverse problems
- 4 Inverse Problems in the Case of Source Periodic in Time
- 4.1 One-dimensional inverse problems
- 4.2 Linear one-dimensional inverse problem4.3 Linearized three-dimensional inverse problem
- 5 Inverse Problems for Quasi-Stationary Maxwell�s Equations
- 5.1 On correspondence between the solutions of quasi-stationary and wave Maxwell�s equations
- 5.2 An one-dimensional inverse problem of determining the conductivity and permeability coefficients
- 5.3 The one-dimensional inverse problem for wave-quasistationary system of equations
- 6 The Inverse Problems for the Simplest Anisotropic Media
- 6.1 On the uniqueness of determination of permittivity and permeability in anisotropic media6.2 On the problem of determining permittivity and conductivity tensors
- 7 Numerical Methods
- 7.1 Projection method for solving the Multidimensional Inverse Problems
- 7.2 One-dimensional problems
- 7.3 Two-dimensional direct problems
- 7.4 Finite-difference scheme inversion (FDSI)
- 7.5 Linearization method
- 7.6 Newton-Kantorovich method
- 7.7 Optimization methods
- 7.8 Dynamical version of the Gel�fand-Levitan method
- 8 Convergence Results
- 8.1 Definitions and examples8.2 Local well-posedness and uiqueness on the whole
- 8.3 Well-posedness in a neighborhood of the exact solution
- 8.4 Convergence of the finite-difference scheme inversion
- 9 Examples
- 9.1 Inductive dielectric well-logging
- 9.2 Nearsurface radarlocation problem
- References